MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS
DOI10.1017/S1474748015000092zbMath1365.28011arXiv1311.1972OpenAlexW2130557449MaRDI QIDQ2978872
Stéphane Seuret, François Vigneron
Publication date: 2 May 2017
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1972
Heisenberg grouppartial differential equationsfunctional analysismeasure and integrationharmonic analysis on Euclidean spaces
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Fractals (28A80) Hausdorff and packing measures (28A78)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization
- Projection and slicing theorems in Heisenberg groups
- A localized Jarník-Besicovitch theorem
- Counter example to the Besicovitch covering property for some Carnot groups equipped with their Carnot-Carathéodory metric
- The trace problem for Sobolev spaces over the Heisenberg group
- Taylor formula for homogeneous groups and applications
- Besov spaces and Sobolev spaces on a nilpotent Lie group
- Subelliptic estimates and function spaces on nilpotent Lie groups
- The trace problem for vector fields satisfying Hörmander's condition
- Weyl calculus and subelliptic operators
- On the Frisch-Parisi conjecture
- Foundations for the theory of quasiconformal mappings on the Heisenberg group
- The effect of projections on dimension in the Heisenberg group
- Construction of Sobolev spaces of fractional order with sub-Riemannian vector fields
- Heterogeneous ubiquitous systems in \(\mathbb R^d\) and Hausdorff dimension
- Isodiametric inequality in Carnot groups
- Diffusive wavelets on groups and homogeneous spaces
- Measure theoretic laws for lim sup sets
- Base d'ondelettes sur les groupes de Lie stratifiés
- Ubiquity and large intersections properties under digit frequencies constraints
- Besov spaces and frames on compact manifolds
- Function Spaces on Lie Groups, the Riemannian Approach
- Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Espaces fonctionnels associés au calcul de Weyl-Hörmander
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces
- Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)